Question 515110: I have a tank that is 7 ft long and 5 ft in diameter how many gallons will it hold Found 3 solutions by Alan3354, ankor@dixie-net.com, lmeeks54:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! I have a tank that is 7 ft long and 5 ft in diameter how many gallons will it hold
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Find vol of a cylinder in cu/ft, convert to gallons
V = * 7.481 = 1028.2 gallons
You can put this solution on YOUR website! We can compute the volume of the tank (it is a cylindrical tank) with the information given, so we'll end up with cubic ft of tank capacity. And a gallon is unit of volume liquid measurement; but we need the conversion for gallons to cubic feet to answer the question. We can look that up.
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First, the area (A) of the top of the tank is given by the equation:
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A = Pi * r^2
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From info given:
r = 5
h = 7
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The volume (V) of the cylindrical tank is given by the equation:
V = (Pi * r^2) * height (h)
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V = 3.14159*(5^2)*7 in cu ft.
V = 549.78 cu ft
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We look up the conversion factor for cu ft to gallons:
1 cu ft = 7.48 gal
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Then multiply the volume of the tank, V, by the conversion factor for gallons:
V = 549.78 cu ft * 7.48 gal/cu ft
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cu ft cancel out and we are left with
V = 4,112.34 gal fit in our cylindrical tank
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cheers, Lee
